analiza aiqbench
This paper advances the theoretical framework for dynamical non-Abelian quantum Hall interfaces by constructing a reparametrization-invariant theory that accounts for fluctuating boundary geometries. By identifying how neutral Majorana modes couple to curvature and velocity, it provides essential tools for modeling topological transport in mesoscopic systems where edge shapes are not fixed. This work deepens the understanding of geometric dynamics within strongly correlated electron phases relevant to fault-tolerant quantum computing architectures.
An Effective String Theory Toolbox for Quantum Hall Interfaces II: Majorana Fermions on Fluctuating Moore-Read Worldsheets
arXiv:2608.06098v1 Announce Type: cross Abstract: A Moore--Read interface carries a chiral Majorana mode on a boundary whose geometry may itself fluctuate. Fixed-edge theory does not determine how this neutral mode should be transported when the interface bends and moves, or how its dynamics couples to the fluctuating shape. Here we construct a spatially reparametrization-invariant Majorana theory on the nonrelativistic worldsheet of a freely moving interface. The changing line element fixes a universal half-density transport law, while additional curvature- and velocity-dependent couplings remain controlled by microscopic interface physics. The resulting framework identifies the Majorana stress tensor as the mediator between neutral and geometric dynamics and provides the neutral sector needed for effective theories of dynamical non-Abelian quantum Hall interfaces.
Abstract:A Moore--Read interface carries a chiral Majorana mode on a boundary whose geometry may itself fluctuate. Fixed-edge theory does not determine how this neutral mode should be transported when the interface bends and moves, or how its dynamics couples to the fluctuating shape. Here we construct a spatially reparametrization-invariant Majorana theory on the nonrelativistic worldsheet of a freely moving interface. The changing line element fixes a universal half-density transport law, while additional curvature- and velocity-dependent couplings remain controlled by microscopic interface physics. The resulting framework identifies the Majorana stress tensor as the mediator between neutral and geometric dynamics and provides the neutral sector needed for effective theories of dynamical non-Abelian quantum Hall interfaces.
Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)
arXiv:2608.06098 [cond-mat.mes-hall]
(or arXiv:2608.06098v1 [cond-mat.mes-hall] for this version)
https://doi.org/10.48550/arXiv.2608.06098 arXiv-issued DOI via DataCite (pending registration)
Text integral sub licența deschisă a publicației · 146 cuvinte
Subiecte conexe
An Effective String Theory Toolbox for Quantum Hall Interfaces III: Open Worldsheets, Endpoint Conditions, and Branes
arXiv · 7 aug. 2026
An Effective String Theory Toolbox for Quantum Hall Interfaces I: Worldsheet Kinematics and Constraint Structure
arXiv · 7 aug. 2026
Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation
Quantum Journal · 1 sept. 2026
News
Quantum Computing Report · 7 iun. 2026